1)To overcome hetero or auto correlation, we use xtgls, xtregar ( Cross-sectional time-series FGLS regression ) in panel data? Should I run any other test or need?

2)Which test should I run for unbalanced panel data ? For example Fixed and random effect,GMM ,Probit and logit regression or Pooled OLS etc.

(N=89,T=15)

Thanks in advance

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